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3 years ago

Show your working for the following questions:

1 answer:

4 0

$\frac{-18}{-3}$ (divide 3 from numerator and denominator) = $\frac{6}{1} = 6$

$\frac{2}{7}$ × $\frac{8}{3}$ = $\frac{16}{21}$

$\frac{3}{8} + \frac{1}{12} = \frac{9}{24} + \frac{2}{24} = \frac{11}{24}$

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Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o

noname [10]

Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

I = PRT/100

Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

y = 11000

x = 55000 - y = 55000 - 11000

x = 44000

4 0

3 years ago

What is the rounded amount 3.56- to the nearest dollar

Semenov [28]

Answer: $4.00

Step-by-step explanation: 56 ronded to to the nearest hundredths equal to 100. 1+3=4

8 0

3 years ago

Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If

nikklg [1K]

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

8 0

2 years ago

What is the equation of the line?

Lelechka [254]

I’m Pretty Sure It’s C.

3 0

3 years ago

The following data summarizes results from 889 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths

pickupchik [31]

Answer:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

Pedestrian

Intoxicated Not intoxicated Total

Intoxicated 50 91 141

Not intoxicated 209 539 748

Total 259 630 889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

$P(A) = \frac{50+209}{889}=0.291$

$P(B) = \frac{50+91}{889}=0.159$

We can find also the probaility that pedestrian was intoxicated AND driver was intoxicated, like this:

$P(A and B) = \frac{50}{889}=0.0562$

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

$P(A or B) = P(A) +P(B) -P(A and B)$

And since w ehave everything to replace we got:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

7 0

3 years ago